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Aloiza [94]
3 years ago
15

In a paper bag, 7 of the 15 marbles are yellow. In a cloth bag, 2 of the 15 marbles are yellow. If Tim randomly draws one marble

from each bag, what is the probability that they are both yellow?
Mathematics
1 answer:
ddd [48]3 years ago
3 0

Answer :

\frac{7}{15}×\frac{2}{15} = \frac{14}{225}

Step-by-step explanation:

P(Event_{1}) = choosing yellow marble from paper bag = \frac{favourable outcomes}{possible outcomes} = \frac{7}{15}

P(Event_{2}) = choosing yellow marble from cloth bag = \frac{favourable outcomes}{possible outcomes} = \frac{2}{15}

∵ Resultant outcome is dependent upon both the events and both events are independent from each other, so we can apply intersection rule [ P(A∩B)=P(A)×P(B) ] here

∴ Probability ( Both marbles are yellow) = P(Event_{1}) × P(Event_{2}) = \frac{7}{15} × \frac{2}{15}

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Find the value of Sin^-1(tan π/4).
zvonat [6]

Answer:

D

Step-by-step explanation:

1. Remind that

\tan \left(\dfrac{\pi }{4}\right)=1.

Here you can use trigonometric table to find the value of \tan\left(\dfrac{\pi}{4}\right), or you can remind that \dfrac{\pi}{4}=45^{\circ} and \tan45^{\circ}=1 because special right triangle 45°-45°-90° is isosceles (with congruent oppposite and adjacent legs) and the ratio between the opposite leg and adjacent leg is equal to 1.

2. Now

\sin^{-1}\left(\tan\left(\dfrac{\pi}{4}\right)\right)=\sin^{-1}1=\dfrac{\pi}{2},

because

\sin\dfrac{\pi}{2}=1.

8 0
3 years ago
Suppose that past history shows that 60% of college students prefer brand c cola. a sample of 5 students is to be selected. base
creativ13 [48]
The probability is 0.337.

The probability that more than 3 prefer brand c is the same as finding the probability that 4 or 5 prefer brand c.  Using a binomial distribution,

_5C_4(0.6)^4(0.4)^{5-4}+_5C_5(0.6)^5(0.4)^{5-5}
\\
\\=\frac{5!}{4!1!}(0.6)^4(0.4)^1+\frac{5!}{5!0!}(0.6)^5(0.4)^0
\\
\\=5(0.6)^4(0.4)+1(0.6)^5(1)=0.33696\approx0.337
4 0
3 years ago
Alright i have 4 separate questions to ask for this one i will label them number one through 4 so you don't get mixed up
CaHeK987 [17]

Answer:

1: C. $3,474.38

2: B. $44.10

C: C. $570

Step-by-step explanation:

1.

4250 - (4250 x 0.25)

3187.50

3187.50 + (3187.50 x 0.09)

3474.375 which rounds up to

$3,474.38

2.

52 - (52 x 0.2)

41.6

41.6 + (41.6 x 0.06)

44.096 which rounds up to

44.10

3.

500 + (500 x 0.2)

600

600 - (600 x 0.05)

570

4 0
3 years ago
Read 2 more answers
392 x 22 but in a reciprocal answer I only have 10 minutes!!
Paladinen [302]

your answer is 0.00011596

4 0
3 years ago
Can somone explain to me how to do this and help me thansk!!!
Gnesinka [82]
=> x² = (2.4)² + (4.8)²

=> x² = 5.76 + 23.04

=> x² = 28.8

=> x = 5.366563146

=> x = 5.4

Ans: 2nd option (5.4)

Hope this helps!
6 0
3 years ago
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